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Finding the Fourth Proportional to 321.53, 482.15 and 115.97

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Solution

The fourth proportional to 321.53, 482.15 and 115.97 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.53 : 482.15 = 115.97 : x
  2. Step 2: Convert to fraction form
    321.53/482.15 = 115.97/x
  3. Step 3: Cross multiply
    321.53x = 482.15 × 115.97
  4. Step 4: Simplify right side
    321.53x = 55,911.94
  5. Step 5: Solve for x
    x = 55,911.94/321.53
  6. Step 6: Final answer
    x = 173.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.